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Math Help - Graphs

  1. #1
    Newbie
    Joined
    Apr 2009
    Posts
    16

    Graphs

    Hi,

    I was wondering how increasing the power of an equation would transform a graph?

    e.g

    y=ln(x^2)+6

    vs

    y=ln(x^3)+6

    what change does increasing the power have?
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  2. #2
    Member
    Joined
    Mar 2009
    From
    Alberta
    Posts
    173
    Quote Originally Posted by p4pri View Post
    Hi,

    I was wondering how increasing the power of an equation would transform a graph?

    e.g

    y=ln(x^2)+6

    vs

    y=ln(x^3)+6

    what change does increasing the power have?
    A major change is that the graph will be defined for negative x when x has an even power.

    Note than the graph of ln(x) is only defined for positive x as you cannot take the logarithm of a negative number. But if you have y=ln(x^2), the graph will be defined for both positive and negative x as a negative value of x will become positive once you square.

    Also, the graph will become steeper, due to you taking the natural logarithm of a larger and larger number as you increase the power of x.
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